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Finding the Fourth Proportional to 645.36, 966.42 and 402.36

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Solution

The fourth proportional to 645.36, 966.42 and 402.36 is: 602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.36 : 966.42 = 402.36 : x
  2. Step 2: Convert to fraction form
    645.36/966.42 = 402.36/x
  3. Step 3: Cross multiply
    645.36x = 966.42 × 402.36
  4. Step 4: Simplify right side
    645.36x = 388,848.75
  5. Step 5: Solve for x
    x = 388,848.75/645.36
  6. Step 6: Final answer
    x = 602.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.